%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU172+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:40:45 EDT 2024
% Result : Theorem 210.18s 210.37s
% Output : Refutation 210.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU172+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 11:44:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 210.18/210.37 % Version: 1.5
% 210.18/210.37 % SZS status Theorem
% 210.18/210.37 % SZS output start CNFRefutation
% 210.18/210.37 fof(t54_subset_1,conjecture,(![A]:(![B]:(![C]:(element(C,powerset(A))=>(~(in(B,subset_complement(A,C))&in(B,C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t54_subset_1)).
% 210.18/210.37 fof(c19,negated_conjecture,(~(![A]:(![B]:(![C]:(element(C,powerset(A))=>(~(in(B,subset_complement(A,C))&in(B,C)))))))),inference(assume_negation,[status(cth)],[t54_subset_1])).
% 210.18/210.37 fof(c20,negated_conjecture,(?[A]:(?[B]:(?[C]:(element(C,powerset(A))&(in(B,subset_complement(A,C))&in(B,C)))))),inference(fof_nnf,[status(thm)],[c19])).
% 210.18/210.37 fof(c21,negated_conjecture,(?[X11]:(?[X12]:(?[X13]:(element(X13,powerset(X11))&(in(X12,subset_complement(X11,X13))&in(X12,X13)))))),inference(variable_rename,[status(thm)],[c20])).
% 210.18/210.37 fof(c22,negated_conjecture,(element(skolem0004,powerset(skolem0002))&(in(skolem0003,subset_complement(skolem0002,skolem0004))&in(skolem0003,skolem0004))),inference(skolemize,[status(esa)],[c21])).
% 210.18/210.37 cnf(c25,negated_conjecture,in(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c22])).
% 210.18/210.37 cnf(reflexivity,axiom,X38=X38,theory(equality)).
% 210.18/210.37 fof(d4_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&(~in(D,B))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 210.18/210.37 fof(c6,plain,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&~in(D,B)))))))),inference(fof_simplification,[status(thm)],[d4_xboole_0])).
% 210.18/210.37 fof(c7,plain,(![A]:(![B]:(![C]:((C!=set_difference(A,B)|(![D]:((~in(D,C)|(in(D,A)&~in(D,B)))&((~in(D,A)|in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))|C=set_difference(A,B)))))),inference(fof_nnf,[status(thm)],[c6])).
% 210.18/210.37 fof(c8,plain,((![A]:(![B]:(![C]:(C!=set_difference(A,B)|((![D]:(~in(D,C)|(in(D,A)&~in(D,B))))&(![D]:((~in(D,A)|in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))|C=set_difference(A,B)))))),inference(shift_quantors,[status(thm)],[c7])).
% 210.18/210.37 fof(c9,plain,((![X2]:(![X3]:(![X4]:(X4!=set_difference(X2,X3)|((![X5]:(~in(X5,X4)|(in(X5,X2)&~in(X5,X3))))&(![X6]:((~in(X6,X2)|in(X6,X3))|in(X6,X4))))))))&(![X7]:(![X8]:(![X9]:((?[X10]:((~in(X10,X9)|(~in(X10,X7)|in(X10,X8)))&(in(X10,X9)|(in(X10,X7)&~in(X10,X8)))))|X9=set_difference(X7,X8)))))),inference(variable_rename,[status(thm)],[c8])).
% 210.18/210.37 fof(c11,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((X4!=set_difference(X2,X3)|((~in(X5,X4)|(in(X5,X2)&~in(X5,X3)))&((~in(X6,X2)|in(X6,X3))|in(X6,X4))))&(((~in(skolem0001(X7,X8,X9),X9)|(~in(skolem0001(X7,X8,X9),X7)|in(skolem0001(X7,X8,X9),X8)))&(in(skolem0001(X7,X8,X9),X9)|(in(skolem0001(X7,X8,X9),X7)&~in(skolem0001(X7,X8,X9),X8))))|X9=set_difference(X7,X8))))))))))),inference(shift_quantors,[status(thm)],[fof(c10,plain,((![X2]:(![X3]:(![X4]:(X4!=set_difference(X2,X3)|((![X5]:(~in(X5,X4)|(in(X5,X2)&~in(X5,X3))))&(![X6]:((~in(X6,X2)|in(X6,X3))|in(X6,X4))))))))&(![X7]:(![X8]:(![X9]:(((~in(skolem0001(X7,X8,X9),X9)|(~in(skolem0001(X7,X8,X9),X7)|in(skolem0001(X7,X8,X9),X8)))&(in(skolem0001(X7,X8,X9),X9)|(in(skolem0001(X7,X8,X9),X7)&~in(skolem0001(X7,X8,X9),X8))))|X9=set_difference(X7,X8)))))),inference(skolemize,[status(esa)],[c9])).])).
% 210.18/210.37 fof(c12,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((((X4!=set_difference(X2,X3)|(~in(X5,X4)|in(X5,X2)))&(X4!=set_difference(X2,X3)|(~in(X5,X4)|~in(X5,X3))))&(X4!=set_difference(X2,X3)|((~in(X6,X2)|in(X6,X3))|in(X6,X4))))&(((~in(skolem0001(X7,X8,X9),X9)|(~in(skolem0001(X7,X8,X9),X7)|in(skolem0001(X7,X8,X9),X8)))|X9=set_difference(X7,X8))&(((in(skolem0001(X7,X8,X9),X9)|in(skolem0001(X7,X8,X9),X7))|X9=set_difference(X7,X8))&((in(skolem0001(X7,X8,X9),X9)|~in(skolem0001(X7,X8,X9),X8))|X9=set_difference(X7,X8))))))))))))),inference(distribute,[status(thm)],[c11])).
% 210.18/210.37 cnf(c14,plain,X103!=set_difference(X102,X105)|~in(X104,X103)|~in(X104,X105),inference(split_conjunct,[status(thm)],[c12])).
% 210.18/210.37 cnf(c164,plain,~in(X228,set_difference(X229,X230))|~in(X228,X230),inference(resolution,[status(thm)],[c14, reflexivity])).
% 210.18/210.37 cnf(c5,axiom,X86!=X85|X88!=X87|~in(X86,X88)|in(X85,X87),theory(equality)).
% 210.18/210.37 cnf(c24,negated_conjecture,in(skolem0003,subset_complement(skolem0002,skolem0004)),inference(split_conjunct,[status(thm)],[c22])).
% 210.18/210.37 cnf(c149,plain,skolem0003!=X400|subset_complement(skolem0002,skolem0004)!=X401|in(X400,X401),inference(resolution,[status(thm)],[c24, c5])).
% 210.18/210.37 cnf(c23,negated_conjecture,element(skolem0004,powerset(skolem0002)),inference(split_conjunct,[status(thm)],[c22])).
% 210.18/210.37 fof(d5_subset_1,axiom,(![A]:(![B]:(element(B,powerset(A))=>subset_complement(A,B)=set_difference(A,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_subset_1)).
% 210.18/210.37 fof(c26,plain,(![A]:(![B]:(~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B)))),inference(fof_nnf,[status(thm)],[d5_subset_1])).
% 210.18/210.37 fof(c27,plain,(![X14]:(![X15]:(~element(X15,powerset(X14))|subset_complement(X14,X15)=set_difference(X14,X15)))),inference(variable_rename,[status(thm)],[c26])).
% 210.18/210.37 cnf(c28,plain,~element(X141,powerset(X142))|subset_complement(X142,X141)=set_difference(X142,X141),inference(split_conjunct,[status(thm)],[c27])).
% 210.18/210.37 cnf(c232,plain,subset_complement(skolem0002,skolem0004)=set_difference(skolem0002,skolem0004),inference(resolution,[status(thm)],[c28, c23])).
% 210.18/210.37 cnf(c3932,plain,skolem0003!=X9719|in(X9719,set_difference(skolem0002,skolem0004)),inference(resolution,[status(thm)],[c232, c149])).
% 210.18/210.37 cnf(c161910,plain,in(skolem0003,set_difference(skolem0002,skolem0004)),inference(resolution,[status(thm)],[c3932, reflexivity])).
% 210.18/210.37 cnf(c161927,plain,~in(skolem0003,skolem0004),inference(resolution,[status(thm)],[c161910, c164])).
% 210.18/210.37 cnf(c161944,plain,$false,inference(resolution,[status(thm)],[c161927, c25])).
% 210.18/210.37 % SZS output end CNFRefutation
% 210.18/210.37
% 210.18/210.37 % Initial clauses : 40
% 210.18/210.37 % Processed clauses : 2246
% 210.18/210.37 % Factors computed : 49
% 210.18/210.37 % Resolvents computed: 161917
% 210.18/210.37 % Tautologies deleted: 23
% 210.18/210.37 % Forward subsumed : 4931
% 210.18/210.37 % Backward subsumed : 255
% 210.18/210.37 % -------- CPU Time ---------
% 210.18/210.37 % User time : 209.546 s
% 210.18/210.37 % System time : 0.440 s
% 210.18/210.37 % Total time : 209.986 s
%------------------------------------------------------------------------------